Search a number
-
+
128152903680 = 213335115879
BaseRepresentation
bin111011101011010000…
…0100010000000000000
3110020210012022000211000
41313112200202000000
54044424120404210
6134512253252000
712154514464614
oct1672640420000
9406705260730
10128152903680
114a392a7834a
1220a06194000
13c114304c29
1462ba053344
153500b05ac0
hex1dd6822000

128152903680 has 224 divisors, whose sum is σ = 455630889600. Its totient is φ = 34173812736.

The previous prime is 128152903643. The next prime is 128152903691. The reversal of 128152903680 is 86309251821.

128152903680 is a `hidden beast` number, since 1 + 281 + 5 + 2 + 9 + 0 + 368 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047981 + ... + 1163859.

Almost surely, 2128152903680 is an apocalyptic number.

128152903680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128152903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227815444800).

128152903680 is an abundant number, since it is smaller than the sum of its proper divisors (327477985920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

128152903680 is an equidigital number, since it uses as much as digits as its factorization.

128152903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115919 (or 115889 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 128152903680 in words is "one hundred twenty-eight billion, one hundred fifty-two million, nine hundred three thousand, six hundred eighty".